1.

OSCILLATION OF SOLUTIONS OF THE SYSTEMS OF QUASILINEAR HYPERBOLIC EQUATION UNDER NONLINEAR BOUNDARY CONDITION





邓立虎 穆春来《数学物理学报(B辑英文版)》,2007年第27卷第3期


Sufficient conditions are obtained for the oscillation of solutions of the systems of quasilinear hyperbolic differential equation with deviating arguments under nonlinear boundary condition.

2.

OSCILLATIONS OF HIGHER ORDER ORDINARY DIFFERENTIAL EQUATION WITH IMPULSES





Zhang Chaolong 《Annals of Differential Equations》,2005年第21卷第4期


Sufficient conditions to guarantee the oscillations of higher order ODE with impulses are obtained. The importance of the impulsive effect on the oscillations of higher order differential equation is stressed.

3.

OSCILLATIONS OF FOURTH ORDER ODE WITH IMPULSES 被引次数：8





冯伟贞《Annals of Differential Equations》,2003年第2期


Sufficient conditions to guarantee the oscillations of fourth order ODE with impulses are obtained. The importance of the impulsive effect on the oscillations of higher order differential equations is stressed.

4.

NECESSARY AND SUFFICIENT CONDITION FOR OSCILLATION OF IMPULSIVE DELAY HYPERBOLIC DIFFERENTIAL SYSTEM





Zou Min~1 Chang Tao~《Annals of Differential Equations》,2007年第23卷第4期


This paper deals with the oscillation problems of impulsive delay hyperbolic system.A necessary and sufficient condition is obtained.

5.

具有连续分布偏差变元的双曲型微分方程振动准则的进一步结果(英文)





张蒙 宋国华《数学季刊》,2012年第1期


A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify a number of existing results.

6.

OSCILLATION OF SYSTEMS OF IMPULSIVE DELAY PARABOLIC EQUATIONS ABOUT BOUNDARY VALUE PROBLEMS 被引次数：1





Luo Lipng Peng Baiyu Yang Liu 《Annals of Differential Equations》,2007年第23卷第4期


In this paper,oscillation of solutions to a class of impulsive delay para bolic partial differential equations system with higher order Laplace operator is studied.Under two different boundary value conditions,we establish some sufficient criteria with respect to the oscillations of such systems,employing firstorder impulsive delay differential inequalities.The results fully reflect the influence action of impulsive and delay in oscillation.

7.

OSCILLATION CRITERIA FOR SECOND ORDER QUASILINEAR NEUTRAL EQUATION





Siyu Zhang Fanwei Meng《Annals of Differential Equations》,2011年第1期


We present some new oscillation criteria for second order neutral delay differential equations with distributed deviating argument using the Riccati technique and some inequalities. The results obtained improve and extend some known results.

8.

ASYMPTOTIC BEHAVIOR AND OSCILLATIONS OF SECOND ORDER INTEGRODIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT





孟凡伟 唐秋晶《Annals of Differential Equations》,2004年第20卷第4期


The asymptotic behavior and oscillation of the solutions of second order integrodifferential equations with deviating argumentis studied. Our technique depends on an integral inequality containing a deviating argument. From this we obtain some sufficient conditions under which all solutions of Eq.(1.4) have some asymptotic behavior and oscillation.

9.

OSCILLATION OF IMPULSIVE HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH DELAY 被引次数：1





Xue Qiutiao Wu Sunyong 《Annals of Differential Equations》,2006年第3期


In this paper, oscillation properties of the solutions of impulsive hyperbolic equation with delay are investigated via the method of differential inequalities. Sufficient conditions for oscillations of the solutions are established.

10.

OSCILLATION FOR A CLASS OF SECONDORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH IMPULSES 被引次数：1





Xu Huazhong 《Annals of Differential Equations》,2007年第23卷第4期


This paper discusses the oscillation of secondorder nonlinear differential equations with impulses.Sufficient conditions for all solutions of the equation to be oscillated are obtained.

11.

OSCILLATION OF FIRST ORDER NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MIXED ARGUMENT





燕居让《Annals of Differential Equations》,2002年第3期


This paper devotes to study the oscillatory behavior of solutions of a first order nonlinear impulsive differential equation with mixed argument. First, without assuming the deviating argument to be retarded or advanced, a sufficient condition is established for all solutions of the differential equation to be oscillatory. Next, a sufficient condition for the differential equation to have nonoscillatoty solution is given. Finally, a sufficient and necessary condition for all solutions of the differential equation to be oscillatory is obtained.

12.

高阶拟线性双曲型方程的精确边界能控性 被引次数：1





YuLixin《高校应用数学学报(英文版)》,2005年第20卷第2期


By means of the existence and uniqueness of semiglobal C^1 solution to the mixed initialboundary value problem with general nonlinear boundary conditions for first order quasilinear hyperbolic systems with zero eigenvalues ,the local exact boundary controllability for higher order quasilinear hyperbolic equations is established.

13.

ASYMPTOTIC BEHAVIOR OF HIGHER ORDER NONLINEAR INTEGRODIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS





Jianli Yao Fanwei Meng Fengying Wang《Annals of Differential Equations》,2013年第4期


In this paper, we study a class of higher order nonlinear integrodiferential equations with deviating arguments. With the aid of the integral inequality, we obtain some sufcient conditions under which all solutions to the equation have some asymptotic behavior.

14.

OSCILLATING CRITERIA FOR CERTAIN EVEN ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS





Huang Xianyong 《Annals of Differential Equations》,2007年第23卷第1期


By using the integral averaging technique, oscillating criteria for certain even order neutral differential equation with deviating arguments are established. These results extend some known oscillation criteria due to Xu and Xia.

15.

OSCILLATION CRITERIA FOR DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES





Liu Kaien 《Annals of Differential Equations》,2006年第22卷第4期


The present paper is devoted to the investigation of the oscillation of second order nonlinear delay differential equation (DDE) with impulses, sufficient conditions of oscillation for the solutions of DDE with impulses are obtained by using differential inequality. Some known results are improved and generalized.

16.

中立型脉冲双曲型方程的振动准则





朱先阳 李永昆 卢玲红《数学季刊》,2006年第21卷第2期


Oscillation properties of the solutions of impulsive hyperbolic equations are investigated by the method of differential inequalities.

17.

OSCILLATION CRITERIA OF NEUTRAL TYPE IMPULSIVE HYPERBOLIC EQUATIONS





马晴霞 ;刘安平《数学物理学报(B辑英文版)》,2014年第6期


In this paper, oscillatory properties of all solutions for neutral type impulsive hyperbolic equations with several delays under the Robin boundary condition are investigated and several new sufficient conditions for oscillation are presented.

18.

A THEORETICAL ANALYSIS OF LOTKA'S MODEL IN CLOSED SYSTEM





赵学庄 臧雅茹 易希璋 刘嘉欣 张秀芳《中国科学B辑(英文版)》,1987年第9期


In this paper, the Lotka's model in closed system has been discussed in detail. Considering the consumption of reaction reagent, this model is analysed in accordance with the first order harmonic wave approximation and digital calculated by using the microcomputer.For the various initial conditions (according to, approaching, deviating from and deviating far from the Lotka's steadystate condition) the corresponding chemical oscillation behaviours are studied. The rules in connection with the time dependence of corresponding concentrations and the reaction trajectories in the relative component concentration phase space are obtained. The effectual regions in regard to the first order harmonic wave are examined. The relative results may be used to explain some important chemical oscillation phenomena, such as the sustained, damped and exploded oscillations.

19.

OSCILLATION OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENTS





《Annals of Differential Equations》,2008年第2期


In this paper,we investigate oscillation of solutions to a class of second order neutral delay difference equations with continuous arguments. We then obtain some sufficient conditions for bounded oscillation of the solutions.

20.

OSCILLATION OF HYPERBOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE 被引次数：8





籍法俊 冯滨鲁 俞元洪《Annals of Differential Equations》,2003年第3期


Neutral hyperbolic differential equations with continuous distributed deviating arguments are studied, and sufficient conditions for each solution of the boundary value problem to be oscillatory in a cylindrical domain are obtained.
